The Properties of a Class of Linear FSRs and Their Applications to the Construction of Nonlinear FSRs

Li C.; Zeng X.; Helleseth T.; Li C.; Hu L.

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The Properties of a Class of Linear FSRs and Their Applications to the Construction of Nonlinear FSRs

机译：一类线性FSR的性质及其在非线性FSR构造中的应用

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摘要

In this paper, the cycle structure and adjacency graphs of a class of linear feedback shift registers (LFSRs) are determined. By recursively applying the $D$ -morphism to the maximum-length LFSRs and representing the cycles by generating functions, a new family of maximum-length nonlinear feedback shift registers (NFSRs) are proposed based on the properties of these LFSRs. The number of NFSRs in the proposed family is also considered.

机译：本文确定了一类线性反馈移位寄存器（LFSR）的周期结构和邻接图。通过将$ D $-态递归应用于最大长度的LFSR，并通过生成函数表示周期，基于这些LFSR的特性，提出了一个新的最大长度的非线性反馈移位寄存器（NFSR）系列。还考虑了拟议家族中的NFSR数量。

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来源
《IEEE Transactions on Information Theory》 |2014年第5期|3052-3061|共10页
作者
Li C.; Zeng X.; Helleseth T.; Li C.; Hu L.;
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作者单位

Faculty of Mathematics and Statistics, Wuhan, China|c|;

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原文格式 PDF
正文语种 eng
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关键词
$D$ -morphism; NFSR; cycle structure; de Bruijn sequence; generating function;

机译：$ D $态射;NFSR;循环结构;deBruijn序列;生成函数;

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The Properties of a Class of Linear FSRs and Their Applications to the Construction of Nonlinear FSRs

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